matrices

1. EJERCICIO7TRABAJOGRUPAL 1
Resolverel sistemade ecuaciones
{
𝑋 − 2𝑌 = 𝐴
2𝑋 + 3𝑌 = 𝐵
; 𝐴 = [
6 −3
7 4
] 𝑌 𝐵 = [
12 8
−7 8
]
𝒂 𝟏𝟏
(−2) 𝑥 − 2𝑦 = 6
2𝑥 + 3𝑦 = 12
−2𝑥 + 4𝑦 = −12
2𝑥 + 3𝑦 = 12
7𝑦 = 0
𝑦 = 0
2𝑥 + 3𝑦 = 12
2𝑥 = 12
𝑥 = 6
𝒂 𝟏𝟐
(−2) 𝑥 − 2𝑦 = −3
2𝑥 + 3𝑦 = 8
−2𝑥 + 4𝑦 = 6
2𝑥 + 3𝑦 = 8
7𝑦 = 14
𝑦 = 2
𝑥 − 2( 𝑦) = 7
𝑥 − 4 = −3

2. 𝑦 = 4 − 3
𝑦 = 1
𝒂 𝟐𝟏
(−2) 𝑥 − 2𝑦 = 7
2𝑥 + 3𝑦 = −7
−2𝑥 + 4𝑦 = −14
2𝑥 + 3𝑦 = 7
7𝑦 = 21
𝑦 = −3
𝑥 − 2𝑦 = 7
𝑥 − 2(−3) = 7
𝑥 + 6 = 7
𝑥 = 1
𝒂 𝟐𝟐
(−2) 𝑥 − 2𝑦 = 4
2𝑥 + 3𝑦 = 8
−2𝑥 + 4𝑦 = −8
2𝑥 + 3𝑦 = 8
7𝑦 = 0
𝑦 = 0

3. 𝑥 − 2𝑦 = 4
𝑥 − 2(0) = 4
𝑥 = 4
Rpta
𝑋 = [
6 1
1 4
]
𝑌 = [
0 2
−3 0
]